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34514395664 = 247973176951
BaseRepresentation
bin100000001001001101…
…111110001000010000
310022002100220222000112
4200021031332020100
51031141141130124
623504455140452
72331204344150
oct401115761020
9108070828015
1034514395664
1113701527341
126832974728
13334073c138
141955c20760
15d7010c90e
hex80937e210

34514395664 has 40 divisors (see below), whose sum is σ = 77212641408. Its totient is φ = 14639385600.

The previous prime is 34514395661. The next prime is 34514395681. The reversal of 34514395664 is 46659341543.

It is a super-2 number, since 2×345143956642 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34514395661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1577612 + ... + 1599339.

Almost surely, 234514395664 is an apocalyptic number.

It is an amenable number.

34514395664 is an abundant number, since it is smaller than the sum of its proper divisors (42698245744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34514395664 is a wasteful number, since it uses less digits than its factorization.

34514395664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3177063 (or 3177057 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 50.

The spelling of 34514395664 in words is "thirty-four billion, five hundred fourteen million, three hundred ninety-five thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 97 112 194 388 679 776 1358 1552 2716 5432 10864 3176951 6353902 12707804 22238657 25415608 44477314 50831216 88954628 177909256 308164247 355818512 616328494 1232656988 2157149729 2465313976 4314299458 4930627952 8628598916 17257197832 34514395664